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Finding the Fourth Proportional to 1,661.23, 2,490.93 and 565.15

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Solution

The fourth proportional to 1,661.23, 2,490.93 and 565.15 is: 847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.23 : 2,490.93 = 565.15 : x
  2. Step 2: Convert to fraction form
    1,661.23/2,490.93 = 565.15/x
  3. Step 3: Cross multiply
    1,661.23x = 2,490.93 × 565.15
  4. Step 4: Simplify right side
    1,661.23x = 1,407,749.09
  5. Step 5: Solve for x
    x = 1,407,749.09/1,661.23
  6. Step 6: Final answer
    x = 847.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.